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arXiv · 1111.3604

On fractional Poincar\'e inequalities

Ritva Hurri-Syrjänen·Antti V. Vähäkangas
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Abstract

We show that fractional (p,p)-Poincar\'e inequalities and even fractional Sobolev-Poincar\'e inequalities hold for bounded John domains, and especially for bounded Lipschitz domains. We also prove sharp fractional (1,p)-Poincar\'e inequalities for s-John domains.

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Ritva Hurri-Syrjänen, Antti V. Vähäkangas. 2011-11-15. On fractional Poincar\'e inequalities. https://arxiv.org/abs/1111.3604

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